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Complete Question
A drawing of a basement uses the same scale as the example above which is 1 inch to 10 ft. The basement is 28ft wide and 35 ft long. how wide and long is the drawing? show your work
Answer:
2.8 inches wide and 3.5 inches long.
Step-by-step explanation:
Scale drawing
1 inch = 10 feet
= 1 inch/10 feet
For the Width of the basement
The basement = 28ft wide
= 1inch/ 10 feet = x inch/28ft
= Cross Multiply =
10 feet × x inch = 28feet × 1 inch
x inch = 28 feet × 1 inch/10 feet
x = 2.8 inches
The drawing = 2.8 inches wide
The length of the basement = ft long
1inch/ 10 feet = x inch/35ft
= Cross Multiply =
10 feet × x inch = 35feet × 1 inch
x inch = 35 feet × 1 inch/10 feet
x = 3.5inches
Therefore, the drawing is 2.8 inches wide and 3.5 inches long
Answer:
0.03333
Step-by-step explanation:
The centre of this circle is at 12
1
2
and has radius 12
1
2
, so the equation is (−12)2+2=12
(
x
−
1
2
)
2
+
y
2
=
1
2
.
The lowest natural temperature ever directly recorded at ground level on Earth is −89.2 °C (−128.6 °F; 184.0 K) at the Soviet Vostok Station in Antarctica on July 21, 1983 by ground measurements
X + y = 7
xy = -30
x + y = 7
x - x + y = -x + 7
y = -x + 7
xy = -30
x(-x + 7) = -30
x(-x) + x(7) = 30
-x² + 7x = -30
-x² + 7x + 30 = 0
-1(x²) - 1(-7x) - 1(-30) = 0
-1(x² - 7x - 30) = 0
-1 -1
x² - 7x - 30 = 0
x² - 10x + 3x - 30 = 0
x(x) - x(10) + 3(x) - 3(10) = 0
x(x - 10) + 3(x - 10) = 0
(x + 3)(x - 10) = 0
x + 3 = 0 or x - 10 = 0
- 3 - 3 + 10 + 10
x = -3 or x = 10
x + y = 7 or x + y = 7
-3 + y = 7 or 10 + y = 7
+ 3 + 3 - 10 - 10
y = 10 or y = -3
(x, y) = (-3, 10) or (x, y) = (10, -3)
The two numbers that add up to 7 and multiply to 30 are -3 and 10.